文章基本信息

标题：Certain Subclasses of Starlike Functions of Complex Order Involving Generalized Hypergeometric Functions
本地全文：下载
作者：G. Murugusundaramoorthy ; N. Magesh
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2010
卷号：2010
DOI：10.1155/2010/178605
出版社：Hindawi Publishing Corporation
摘要：Making use of the generalized hypergeometric functions, we define a new subclass of uniformly convex functions and a corresponding subclass of starlike functions with negative coefficients and obtain coefficient estimates, extreme points, the radii of close-to-convexity, starlikeness and convexity, and neighborhood results for the class 𝑇𝑆𝑙𝑚(𝛼,𝛽,𝛾). In particular, we obtain integral means inequalities for the function 𝑓 that belongs to the class 𝑇𝑆𝑙𝑚(𝛼,𝛽,𝛾) in the unit disc.